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4 January, 10:51

You can buy property today for $2.9 million and sell it in 5 years for $3.9 million. (You earn no rental income on the property.) a. If the interest rate is 8%, what is the present value of the sales price? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) b. Is the property investment attractive to you? c-1. What is the present value of the future cash flows, if you also could earn $190,000 per year rent on the property? The rent is paid at the end of each year. (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) c-2. Is the property investment attractive to you now?

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  1. 4 January, 10:55
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    a) $2, 654,000 or approximately $2.654 million

    b) The investment is not attractive because the present value of the future cash flow at $2.654 million is less than the investment of $2.9 million

    c) $3.413 million approximately

    d) This property is attractive as the present value of $3.413 is higher than the investment of $2.9 million

    Explanation:

    The A part of the questions is to determine the present value of property

    Information given

    Future value = $3.9 million

    Interest rate = 8%

    The period = 5 years

    The present value formula = Future value / (1+r) ∧n

    = $3,900,000 / 1.08∧5

    = 2,654,274.46843163

    = $2, 654,000 or approximately $2.654 million

    b) Is the property attractive ...

    The investment is not attractive because the present value of the future cash flow at $2.654 million is less than the investment of $2.9 million

    c) Compute a new present value based on cash flow of $190,000

    The present value

    = 190,000 / 1.08∧1 + 190,000 / 1.08∧3 + 190,000 / 1.08∧3 + 190,000 / 1.08∧4 + 190,000 / 1.08∧5 + 3,900,000 / 1.08∧5

    = 175,929.93 + 162,894.38 + 150,828.13 + 139,655.67 + 129,310.81 + 2,654,274.47 = 3,412,889.38

    = $3.413 million approximately

    d) This property is attractive as the present value of $3.413 is higher than the investment of $2.9 million
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